Methods of Hopf and normal form in the analysis of non-linear and non-conservative systems

The method of normal form originating from the work of A.D. Brjuno has been used in the analysis of two-degrees-of-freedom discrete systems with eccentric follower force. Various types of external and internal damping has been taken into consideration. The program NORFOR2 is compared with program BIFOR2, which is based on Hopf Bifurcation, as to the capacity and speed in solving non-linear, non-conservative systems. The post-critical flutter of the systems has been classified into hard and soft types of flutter.

@techreport{a4759dbd-d616-4146-a1b4-351a235b3b14,
abstract = {The method of normal form originating from the work of A.D. Brjuno has been used in the analysis of two-degrees-of-freedom discrete systems with eccentric follower force. Various types of external and internal damping has been taken into consideration. The program NORFOR2 is compared with program BIFOR2, which is based on Hopf Bifurcation, as to the capacity and speed in solving non-linear, non-conservative systems. The post-critical flutter of the systems has been classified into hard and soft types of flutter.},
author = {Arif, Ghazi Majid},
institution = {Department of Fire Safety Engineering and Systems Safety, Lund University},
issn = {0284-933X},
language = {eng},
pages = {42},
series = {LUTVDG/TVBB--3061--SE},
title = {Methods of Hopf and normal form in the analysis of non-linear and non-conservative systems},
volume = {3061},
year = {1991},
}